Finding the Third Proportional to 13,537.13 and 17,227.69

Step by Step Solution

1. Step 1: Write the proportion equation
   13,537.13 : 17,227.69 = 17,227.69 : x
2. Step 2: Convert to fraction form
   13,537.13/17,227.69 = 17,227.69/x
3. Step 3: Cross multiply
   13,537.13x = 17,227.69 × 17,227.69
4. Step 4: Simplify right side
   13,537.13x = 296,793,216.60
5. Step 5: Solve for x
   x = 296,793,216.60/13,537.13
6. Step 6: Final answer
   x = 21,924.39